The Mechanism · Gated-generation receipt

gen-what-is-the-significance-of-capacitor-charging-in-an-rc-circ-b816

stable pending witness
2026-05-29 07:51:16 UTC · anthropic/claude-sonnet-4-5

Prompt

What is the significance of capacitor charging in an RC circuit? Answer concisely in 2-3 sentences.
99 chars

Generation

Capacitor charging in an RC circuit demonstrates exponential behavior, where the capacitor voltage increases asymptotically toward the source voltage with a time constant τ = RC. This process is fundamental to understanding timing circuits, filters, and energy storage applications. The charging curve follows V(t) = V₀(1 - e^(-t/RC)), showing how the resistor limits current flow and controls the charging rate.
32 tokens in · 92 tokens out · 3221 ms · $0.0015

The four gates

RED
pass
no disqualifying input patterns detected
FLOOR
pass
output above protective minimum; no mismatches
WAY
pass
no declared way_path (Way check NA); no coercion language
EXECUTION
deferred
no witnesses available (Witness Roll not yet constituted)

Verifier results

scripture_anchors NOT_APPLICABLE
0 Scripture citation(s) extracted
theology_doctrine NOT_APPLICABLE
no doctrine keyword patterns detected

Metrics

Total latency
3228.9 ms
Base LLM
3221.3 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.0015

Trail

07:51:16 received prompt_chars=99 verifiers=['scripture_anchors', 'theology_doctrine']
07:51:16 red_gate decision=pass reason=no disqualifying input patterns detected
07:51:19 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=32 tokens_out=92 latency_ms=3221.3 cost_usd=0.0015
07:51:19 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
07:51:19 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
07:51:19 floor_gate decision=pass reason=output above protective minimum; no mismatches
07:51:19 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
07:51:19 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
07:51:19 signed hash_algo=sha256 hash=sha256:293a00a9e912b40dadaa0a5e736cebd65d320b0721daf5591ff6b09ecb40f9d6

Content hash

sha256:293a00a9e912b40dadaa0a5e736cebd65d320b0721daf5591ff6b09ecb40f9d6

SHA256 over the canonical JSON (excluding this field). Tamper detection. Ed25519 signing planned for v2 once the operator’s signing key is provisioned on disk.

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